Cambridge IGCSE Mathematics 0580 — 2022 Feb/March Paper 1 · Variant 2
0580/12/F/M/22 · 24 questions · 56 marks · ≈63 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper12 pages
Mark scheme6 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write the number sixteen thousand and thirty-seven in figures
1 Write the number sixteen thousand and thirty-seven in figures. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 16 037 1
Q2 · Write down the six factors of 28
2 Write down the six factors of 28. ............. , ............. , ............. , ............. , ............. , ............. [2]
Mark scheme: 2 1, 2, 4, 7, 14, 28 2 B1 for 5 correct and one error or omission
Q3 · Write 9876 correct to the nearest thousand
3 Write 9876 correct to the nearest thousand. ................................................. [1]
Mark scheme: 3 10 000 1
Q4 · The pictogram shows the number of different coloured cars a garage sells in a month
4 The pictogram shows the number of different coloured cars a garage sells in a month. Yellow Red White Silver Key: = 12 cars Work out how many more white cars than red cars the garage sells. ................................................. [1]
Mark scheme: 4 27 1
Q5 · Write down the reciprocal of 5
5 Write down the reciprocal of 5. 6 ................................................. [1]
Mark scheme: 5 1.2 oe 1
Q6 · This is Edha’s method to work out 99 # 27 without using a calculator
6 This is Edha’s method to work out 99 # 27 without using a calculator. 99 # 27 = 100 # 27 - 27 = 2700 - 27 = 2673 Show how to use Edha’s method to work out 99 # 68 without using a calculator. [2]
Mark scheme: 6 100 × 68 − 68 2 M1 for 100 × 68 − 68 = 6800 − 68 = 6732
Q7 · Write 5.26 pm using the 24-hour clock
7 (a) Write 5.26 pm using the 24-hour clock. ................................................. [1] (b) A journey starts at 21 15 one day and ends at 04 33 the next day. Calculate the time taken, in hours and minutes. .................... h .................... min [1] (c) Change 10 260 seconds into hours. ........................................ hours [2]
Mark scheme: 7(a) 1726 1 7(b) 7 [h] 18 [min] 1 7(c) 2.85 2 10260 M1 for 60 × 60 or B1 for 3600 seconds = 1 hour oe soi or 171
Q8 · Measure the marked angle
8 (a) Measure the marked angle. ................................................. [1] (b) NOT TO 9.5 cm 8 cm SCALE 12 cm Using a ruler and compasses only, construct this triangle. Leave in your construction arcs. The side of length 12 cm has been drawn for you. [2]
Mark scheme: 8(a) 40° 1 8(b) Correct triangle with arcs 2 B1 for correct triangle with incorrect or no arcs or for two correct arcs or for a triangle with arcs but one side not in range
Q9 · Put one pair of brackets into this calculation to make it correct
9 Put one pair of brackets into this calculation to make it correct. 150 - 17 - 5 # 2 2 = 33 [1]
Mark scheme: 9 2 1 150 − 17 − ( 5 × 2 ) = 33
Q10 · Work out 5 # 62
10 Work out 5 # 62 . Give your answer correct to 2 decimal places. ................................................. [2]
Mark scheme: 10 80.50 cao 2 B1 for 80.498…or 80.5 or correctly rounding their more accurate decimal to 2dp
Q11 · Joe thinks of a positive number, n
11 Joe thinks of a positive number, n. He squares n, then adds it to - 24 . The answer is 25. Work out n. n = ................................................ [2]
Mark scheme: 11 7 2 M1 for n 2 − 24 = 25 oe or B1 for 49
Q12 · Indrani and Jagad share some money in the ratio Indrani : Jagad = 7 : 9
12 Indrani and Jagad share some money in the ratio Indrani : Jagad = 7 : 9. Calculate the percentage of the money that Indrani receives. ............................................. % [2]
Mark scheme: 12 43.75 2 7 M1 for [× 100] 7 + 9 If zero scored, SC1 for answer 56.25
Q13 · The equation of a line is y = 5 x + 7
13 The equation of a line is y = 5 x + 7 . (a) Write down the gradient of this line. ................................................. [1] (b) (i) Find the coordinates of the point where this line crosses the y-axis. ( ................... , ................... ) [1] (ii) Find the coordinates of the point where this line crosses the x-axis. ( ................... , ................... ) [2]
Mark scheme: 13(a) 5 1 13(b)(i) (0, 7) 1 13(b)(ii) 7 2 B1 for 0 = 5 x + 7 oe − , 0 oe 5
Q14 · Y 6 5 4 3 A 2 1 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 7 x – 1 – 2 – 3 – 4 – 5 On the grid…
14 y 6 5 4 3 A 2 1 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 7 x – 1 – 2 – 3 – 4 – 5 On the grid, draw the image of (a) triangle A after a reflection in the y-axis, [1] - 3 (b) triangle A after a translation by the vector [2] e- 4o.
Mark scheme: 14(a) Triangle at (–1, 1) (–4, 2) (–3, 5) 1 14(b) Triangle at (–2, –3) (1, –2) (0, 1) 2 −3 k B1 for translation by or by k −4
Q15 · Write 0.0001 as a power of 10
15 Write 0.0001 as a power of 10. ................................................. [1]
Mark scheme: 15 10–4 1
Q16 · As the temperature increases, people eat more ice cream
16 As the temperature increases, people eat more ice cream. What type of correlation does this statement describe? ................................................. [1]
Mark scheme: 16 Positive 1
Q17 · Sanjay invests $700 in an account paying simple interest at a rate of 2.5% per year
17 Sanjay invests $700 in an account paying simple interest at a rate of 2.5% per year. Calculate the value of his investment at the end of 6 years. $ ................................................ [3]
Mark scheme: 17 805 3 B2 for 105 700 × 2.5 × 6 or M2 for + 700 oe 100 700 × 2.5 [× 6 ] or M1 for oe 100
Q18 · These are the first four terms of a sequence
18 These are the first four terms of a sequence. 1 23 45 67 (a) Write down the next two terms. ....................... , ....................... [2] (b) Find the nth term. ................................................. [2]
Mark scheme: 18(a) 89, 111 2 B1 for each If 0 scored, SC1 for two terms with a difference of 22 18(b) 22 n − 21 oe final answer 2 B1 for final answers 22n + j or kn −21 k≠0 or for correct answer seen and spoilt
Question 19
19 Simplify. (a) 5f + 7g - 8f + 2g ................................................. [2] (b) h 2 # h 5 ................................................. [1] (c) 16x 2 # 5y 0 ................................................. [2]
Mark scheme: 19(a) −3 f + 9 g final answer 2 B1 for −f3 or 9g or correct answer spoilt 19(b) h7 final answer 1 19(c) 20x 2 2 0 B1 for 16 x = 4 x soi or y = 1 soi
Q20 · Balavan has n marbles
20 Balavan has n marbles. n He gives his sister marbles. 5 n He gives his cousin marbles. 2 Write an expression, in terms of n, for the number of marbles that Balavan has now. Give your answer in its simplest form. ................................................. [2]
Mark scheme: 20 3 2 7 1 1 n B1 for n or n − n − n oe 10 10 5 2
Q21 · A B Use set notation to describe the shaded region
21 (a) A B Use set notation to describe the shaded region. ................................................. [1] (b) C D m b h k f j p g y Find n(C). ................................................. [1]
Mark scheme: 21(a) A∩B 1 21(b) 5 1
Q22 · 1122 Without using a calculator, work out 2 #
1 1122 Without using a calculator, work out 2 # . 3 14 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 22 7 M1 k 11 oe improper fraction or × where k > 3 3 3 14 5 A2 77 11 35 16 cao A1 for 42 or 6 or 142
Question 23
23 (a) Expand and simplify. ( x + 3)( x - 5) ................................................. [2] (b) Renuka’s teacher asks her to factorise completely 8x 2 - 12x . Renuka writes 2x ( 4x - 6) as her answer. Explain why she does not score full marks and give the correct answer. Reason ............................................................................................................................................... Correct answer ..................................... [2]
Mark scheme: 23(a) x 2 − 2 x − 15 final answer 2 B1 for x 2 − 5 x + 3 x − 15 with at least 3 terms correct or for correct answer seen and spoilt 23(b) Correct reason 2 B1 for each 4 x ( 2 x − 3 )
Q24 · Udita thinks of two whole numbers
24 Udita thinks of two whole numbers. Both numbers are greater than 6. The lowest common multiple (LCM) of the two numbers is 90. The highest common factor (HCF) of the two numbers is 6. Find the two numbers. ......................... and ......................... [2]
Mark scheme: 24 18 30 2 M1 for 2,3,3,5 or B1 for recognising both numbers are multiples of 6 and greater than 6 or for giving two numbers greater than 6 and ⩽ 90, satisfying either LCM is 90 or HCF is 6
What was in this paper
The subtopics covered by these 24 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2022 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.